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Finding the Third Proportional to 214,368 and 459,840

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Solution

The third proportional to 214,368 and 459,840 is: 986,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,368 : 459,840 = 459,840 : x
  2. Step 2: Convert to fraction form
    214,368/459,840 = 459,840/x
  3. Step 3: Cross multiply
    214,368x = 459,840 × 459,840
  4. Step 4: Simplify right side
    214,368x = 211,452,825,600
  5. Step 5: Solve for x
    x = 211,452,825,600/214,368
  6. Step 6: Final answer
    x = 986,401.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.